login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A158939 First primes followed by sequences of exactly n monotonic increasing prime gaps. 3
3, 2, 17, 347, 2903, 15373, 128981, 1319407, 17797517, 94097537, 6927837557, 48486712783, 968068681511, 1472840004017, 129001208165717 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For n > 1, a(n) is the prime preceding A229832(n-1). [Follows from the definitions] - Chris Boyd, Mar 28 2015

LINKS

Table of n, a(n) for n=1..15.

Gennady Gusev, Puzzle 11.- Distinct, Increasing & Decreasing Gaps [From Zak Seidov, May 31 2016]

EXAMPLE

a(8)=1319407 is the first prime to be followed by n=8 monotonic increasing prime gaps: 4,8,10,14,16,18,32,34.

a(14)=1472840004017 is the first prime to be followed by n=14 monotonic increasing prime gaps: 2,4,6,8,10,12,14,28,30,38,48,64,66,74.

PROG

(PARI) is(p, k, g=0)=my(q=nextprime(p+1)); if(g>=q-p, 0, if(k>1, is(q, k-1, q-p), q-p>=nextprime(q+1)-q))

a(n)=forprime(p=2, , if(is(p, n), return(p))) \\ Charles R Greathouse IV, Nov 02 2012

CROSSREFS

Cf. A158940 (monotonic decreasing prime gaps), A229832.

Sequence in context: A072045 A189731 A126354 * A173795 A249769 A026345

Adjacent sequences:  A158936 A158937 A158938 * A158940 A158941 A158942

KEYWORD

more,nonn

AUTHOR

Alan Worley (aw(AT)xiboo.co.uk), Mar 31 2009

EXTENSIONS

a(15) from Giovanni Resta, Apr 19 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 18 14:24 EDT 2018. Contains 316321 sequences. (Running on oeis4.)